复变函数与积分变换专业术语(Chapter 3).doc

复变函数与积分变换（双语）课专业术语Functions of a complex variable and integral transform terms3.1 The concept of complex integral=oriented curve (directing curve): 有向曲线positive direction: 正方向complex integral: 复积分integral: 积分integrable: 可积分的integrand: 被积函数integrate: 求积分integration: (n.)求积分integrability: (n.) 可积性integral sign: 积分号property of linearity: 线性additive property: 可加性line integral: 曲线积分double integral: 二重积分definite integral: 定积分broken line: 折线the integral is independent of path: 积分与路径无关3.2, 3.3 Cauchy integral theorem and Cauchy integral formula =Cauchy integral theorem: 柯西积分定理Cauchy-Goursat theorem: 柯西-古萨定理indefinite integral: 不定积分the principle of deformation of path: 闭路变形原理Generalized Cauchy integral theorem: 广义柯西积分定理compound curves: 复合闭路Cauchy integral formula: 柯西积分公式formula of higher derivatives: 高阶导数公式derivatives of all orders: 任意阶导数cube: 三次方recursion: 递推mathematical induction: 数学归纳法inverse proposition: 逆命题Cauchy inequality: 柯西不等式entire function: 整函数Fundamental theorem of algebra: 代数基本定理contradiction: 反证法，矛盾reciprocal: 倒数3.4 analytic function and harmonic function=harmonic: 调和的harmonic function: 调和函数partial differential equation: (PDE) 偏微分方程Laplace function: 拉普拉斯方程harmonic conjugate: 调和共轭partial integration method: 偏积分法theorem of uniquely determined